Algebraically primitive Teichmüller curves in Ω\mathcal M_g(2g-2)^{\mathrm{hyp}}

@misc{lee2026algebraically,
  title = {{Algebraically primitive Teichmüller curves in Ω\mathcal M_g(2g-2)^\mathrmhyp}},
  author = {Myeongjae Lee},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26903},
  eprint = {2609.26903},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26903},
}

TY  - UNPB
TI  - Algebraically primitive Teichmüller curves in Ω\mathcal M_g(2g-2)^{\mathrm{hyp}}
AU  - Myeongjae Lee
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26903
UR  - https://arxiv.org/abs/2609.26903
AB  - We give a complete classification of algebraically primitive Teichmüller curves in Ωℳ_g(2g−2)^hyp for g≥5. They are precisely the curves generated by the double regular (2g+1)-gon when 2g+1 is prime, and by the regular 4g-gon when g is a power of two.
ER  -